A Jordan decomposition for groups of finite Morley rank
Logic
2010-09-17 v1 Group Theory
Abstract
We prove a Jordan decomposition theorem for minimal connected simple groups of finite Morley rank with non-trivial Weyl group. From this, we deduce a precise structural description of Borel subgroups of this family of simple groups. Along the way we prove a Tetrachotomy theorem that classifies minimal connected simple groups. Some of the techniques that we develop help us obtain a simpler proof of a theorem of Burdges, Cherlin and Jaligot.
Keywords
Cite
@article{arxiv.1009.3160,
title = {A Jordan decomposition for groups of finite Morley rank},
author = {Tuna Altinel and Jeffrey Burdges and Oliver Frecon},
journal= {arXiv preprint arXiv:1009.3160},
year = {2010}
}